Question

What is the approximate diameter of a tire that will make 775 complete rotations in one mile? (Note: there are 5280 feet
in 1 mile)

Answer 1

Answer:

About 2.17 feet.

Step-by-step explanation:

Let d represent the diameter of the tire.

Then the circumference of the tire will be:

$C=d\pi$

So, the tire will travel dπ miles after one rotation.

After 775 rotations, the total miles traveled should be 5280 feet. Thus:

$775(d\pi)=5280$

Solve for d:

$\displaystyle d=\frac{5280}{775\pi}$

Approximate:

$d=2.1686...\approx2.17$

The circumference of the tire should be about 2.17 feet.